document.write( "Question 461053: I tried to solve this in all my calculators I have and all of them say unable to solve this type of logarithm even tho all of them have the (ln) function. Here is the equation
\n" ); document.write( "2ln(x-3)=ln(x+5)+ln4\r
\n" ); document.write( "\n" ); document.write( "When I input it in it asks if i'm solving for x or e.. not sure where the are getting the e from but anyway.. any help would be appreciated. \n" ); document.write( "
Algebra.Com's Answer #316244 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
2*ln(x-3) = ln(x+5) + ln(4)
\n" ); document.write( "You don't need a calc to solve this
\n" ); document.write( ":
\n" ); document.write( "We can re-write this using the rules of exponents and logs
\n" ); document.write( "ln((x-3)^2) = ln(4(x+5))
\n" ); document.write( "therefore
\n" ); document.write( "(x-3)^2 = 4(x+5)
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 - 6x + 9 = 4x + 20
\n" ); document.write( "x^2 - 6x - 4x + 9 - 20 =
\n" ); document.write( "x^2 - 10x - 11 = 0
\n" ); document.write( "Factor this
\n" ); document.write( "(x-11)(x+1) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 11, the only good solution
\n" ); document.write( "and
\n" ); document.write( "x = -1, you can't have a log of a neg, so this won't work
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "But you can use a calc to check it: enter:
\n" ); document.write( "2*ln(11-3) = 4.15888
\n" ); document.write( "enter
\n" ); document.write( "ln(11+5) + ln(4) = 4.15888; equality reigns, so x=11 is a good solution\r
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